My personal opinion is that a person shouldn't exercise if they are so sick they have difficulty breathing as a result of a respiratory infection. No one would consider you a slacker if you take a couple of days off to get over this flu/cold.
I know you want to get back into the swing of things, but taking care of yourself when you're sick IS part of a healthy lifestyle. Someone on a "diet" feels they have to exercise through illness. Someone with a healthier outlook on life knows that taking a couple of days off will not make or break their healthy lifestyle.
If you feel like you have a little bit of energy, take a walk. the fresh air will do you some good. If you're hacking up stuff only found in a Stephen King novel and you feel fatigued, then you need to lie down and rest. Some times exercise can energize us. Most times, it makes us feel worse.
When I get sick, I take a few days off until I'm better. What happens when I try to push through a cold ? I stay sick for days ! Don't let that happen. Being sick for 1-2 days is better than being sick for 1-2 WEEKS.
Listen to your body. it's telling you it needs to rest. So, take it easy. Push those fluids. Drinking hot tea with a little bit of honey will help soothe your throat. Have some soup too.